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Finding the Fourth Proportional to 25,426.50, 38,140.02 and 6,958.50

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Solution

The fourth proportional to 25,426.50, 38,140.02 and 6,958.50 is: 10,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,426.50 : 38,140.02 = 6,958.50 : x
  2. Step 2: Convert to fraction form
    25,426.50/38,140.02 = 6,958.50/x
  3. Step 3: Cross multiply
    25,426.50x = 38,140.02 × 6,958.50
  4. Step 4: Simplify right side
    25,426.50x = 265,397,329.17
  5. Step 5: Solve for x
    x = 265,397,329.17/25,426.50
  6. Step 6: Final answer
    x = 10,437.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.